@article{260a4d9f5b3a4fc0b7c75cd08db8d353,
title = "An analysis of physics-based optical flow",
abstract = "A variational solution of the physics-based optical flow equation is studied for extraction of high-resolution velocity fields from flow visualization images. The solution to preserve discontinuities in a fluid velocity field is mathematically justified. The uniqueness of the solution and the convergence of a successive approximation sequence are proven. A numerical algorithm is developed and examined through numerical experiments.",
keywords = "BV space, Flow visualization, Physics-based optical flow, Variational method, Velocimetry, Γ-convergence",
author = "Bo Wang and Zemin Cai and Lixin Shen and Tianshu Liu",
note = "Funding Information: This research is supported in part by the National Science Foundation of China ( 61203249 ), by the Natural Science Foundation of Guangdong, China ( S2011040004129 ), by the Fundamental Research Funds for the Central Universities ( ZYGX2013J107 , ZYGX2013Z005 ), by the Foundation for Distinguished Young Talents in Higher Education of Guangdong, China ( LYM11066 ), by the US National Science Foundation under grant DMS-1115523 , and by Guangdong Provincial Government of China through the “Computational Science Innovative Research Team” program. Publisher Copyright: {\textcopyright} 2014 Elsevier B.V. All rights reserved.",
year = "2015",
month = mar,
day = "1",
doi = "10.1016/j.cam.2014.08.020",
language = "English (US)",
volume = "276",
pages = "62--80",
journal = "Journal of Computational and Applied Mathematics",
issn = "0377-0427",
publisher = "Elsevier",
}